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Finding the Fourth Proportional to 2,077.33, 3,115.71 and 616.63

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Solution

The fourth proportional to 2,077.33, 3,115.71 and 616.63 is: 924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.33 : 3,115.71 = 616.63 : x
  2. Step 2: Convert to fraction form
    2,077.33/3,115.71 = 616.63/x
  3. Step 3: Cross multiply
    2,077.33x = 3,115.71 × 616.63
  4. Step 4: Simplify right side
    2,077.33x = 1,921,240.26
  5. Step 5: Solve for x
    x = 1,921,240.26/2,077.33
  6. Step 6: Final answer
    x = 924.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.